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Finding the Fourth Proportional to 7,087.80, 9,784.62 and 4,436.68

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Solution

The fourth proportional to 7,087.80, 9,784.62 and 4,436.68 is: 6,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.80 : 9,784.62 = 4,436.68 : x
  2. Step 2: Convert to fraction form
    7,087.80/9,784.62 = 4,436.68/x
  3. Step 3: Cross multiply
    7,087.80x = 9,784.62 × 4,436.68
  4. Step 4: Simplify right side
    7,087.80x = 43,411,227.86
  5. Step 5: Solve for x
    x = 43,411,227.86/7,087.80
  6. Step 6: Final answer
    x = 6,124.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.